Apologies, but your questions seem to have errors and incomplete information.
For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.
For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.
Please provide complete and accurate information for a precise answer.
A dart is dropped above the target shown in the diagram. The dart has an equal chance of landing on any spot on the target.
What is the probability the dart will land in the shaded square on the target? Round to the nearest hundredth. Enter the answer in the box.
Answer: 0.04
Step-by-step explanation:
The area [tex]A_1[/tex] of the square target with side length [tex]s_1=20 cm[/tex] is:
[tex]A_1=s_1^{2}=20^{2}=400[/tex]
The area [tex]A_2[/tex] of the shaded square with side length [tex]s_2=4cm[/tex] is:
[tex]A_2=s_2^{2}=4^{2}=16[/tex]
So, the probability that the dart will land in the shaded square on the target is:
[tex]\frac{A_{2}}{A_{1}}=\frac{16}{400}=0.04[/tex]
A lawnmower was discounted 32%. The lawnmower sold for $117.81 including sales tax of 5% of the sale price. What was the original price of the mower?
Step-by-step explanation:
We can begin by using the fact that the selling price was 117.81, including a sales tax of 5%. Let x be the original price of the lawnmower.
After the discount of 32%, the selling price is:
0.68x + 0.05(0.68x) = 117.81
Simplifying and solving for x, we get:
0.68x + 0.034x = 117.81
0.714x = 117.81
x = 165
Therefore, the original price of the lawnmower was $165.
Eye Color of Males Surveyed
Green
Blue
5
16
Brown
27
Eye Color of Females Surveyed
Blue
Brown
19
18
Green
3
What percent of students in the survey are either female or have green eyes? Round your answer to the nearest tenth.
About % are either female or have green eyes.
What percent of students in the survey are males who do not have green eyes? Round your answer to the nearest tenth.
About % are males who do not have green eyes.
Find the sum of these two percents.
The sum of these two percents is %.
The sum of the percentage of students who are either female or have green eyes and the percentage of males who do not have green eyes is approximately 99.7%.
How to determine the sum of these two percents.The sum of these two percents is %.Percentage of Females: (1918 / (1918 + 516 + 27)) * 100 = (1918 / 2461) * 100 ≈ 78.0%
Percentage of Students with Green Eyes: ((516 + 3) / (1918 + 516 + 27)) * 100 = (519 / 2461) * 100 ≈ 21.1%
Percentage of Students who are either Female or have Green Eyes: 78.0% + 21.1% ≈ 99.1%
Therefore, approximately 99.1% of students in the survey are either female or have green eyes.
Percentage of Males with Green Eyes: (516 / (516 + 3)) * 100 = (516 / 519) * 100 ≈ 99.4%
Percentage of Males who do not have Green Eyes: 100% - 99.4% ≈ 0.6%
Therefore, approximately 0.6% of students in the survey are males who do not have green eyes.
To find the sum of these two percentages:
Sum of Percentages: 99.1% + 0.6% ≈ 99.7%
Therefore, the sum of the percentage of students who are either female or have green eyes and the percentage of males who do not have green eyes is approximately 99.7%.
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how to find x values
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find
pls help and show work
Hence the surface area of the given figure 168 km².
In the given prism contains
3 rectangular surface,
For rectangular surface 1:
Length = 6 km
Width = 7 km
Surface area = 6x7
= 42 km²
For rectangular surface 2:
Length = 8 km
Width = 7 km
Surface area = 8x7
= 56 km²
For rectangular surface 3:
Length = 10 km
Width = 7 km
Surface area = 10x7
= 70 km²
Hence total surface area of the given figure is,
⇒ 42 + 56 + 70
⇒ 168 km²
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Linear equations linear equations
A graph of the linear equation y = 2x - 1 in slope-intercept form is shown in the image attached below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, we have the linear equation:
y = 2x - 1
Lastly, we would use an online graphing calculator to plot the given linear equation as shown in the graph attached below.
In conclusion, the slope of this linear equation is equal to 2 and it does not represent a proportional relationship.
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Complete Question:
Plot the linear equation on the coordinate axis shown on the right.
If A={o,b,s,e,r,v,a,n,t,l,y} and U={a,b,c,d,e,f,g,h,I,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z} find [A’]
Answer:
[A'] = {c,d,f,g,h,i,j,k,m,n,p,q,u,w,x,z}
Step-by-step explanation:
[A'] is read as the set of A complement, which is all the elements from the universal set that are not contained in set A.
Therefore, [A'] = {c,d,f,g,h,i,j,k,m,n,p,q,u,w,x,z}
help pleaseee bestanswer will get brainly
The central angle of the given circle is seen as: ∠GQH
How to identify the central angle?A central angle of a circle is defined as an angle that exists between two radii with the vertex at the center. The central angle of an arc is also defined as the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
We are given the arc name as Arc GEH.
From the definition above, it is very clear that the central angle will be ∠GQH because it includes the two radii with the vertex at the center.
Thus, we conclude that the correct central angle from the given arc is stated as ∠GQH
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(PLEASE ANSWER ASAP)
Answer:
alternate interior angles are congruent
What is the average of the following numbers? 2, 5,8,1
Answer: The average is a descriptive statistic that provides an idea of the central or typical value in a dataset
Step-by-step explanation:
The average of the numbers is 4
The given parameters are;
The numbers; 2, 5, 8, and 1
The required parameter
To find the average;
Solution:
The average is given by the sum of the data divided by the size or count of the data points
Therefore, the average of the given numbers is given as follows;
Average, x= 2+5+8+1/4=4
The average of the numbers, = 4
Emile is observing a wind turbine. The vertical distance between the
ground and the tip of one of the turbine's blades, in meters, is modeled
by H(t) where t is the time in seconds. The function is graphed below,
along with one segment highlighted.
The correct options are:
1) A, it is the midline.
2) D, the center is 35 meters above the ground.
Which feature of the graph corresponds to the highlighted segment?
The highlighted segment is the red dashed line that goes along with the graph of the sinusoidal function.
That line is called the midline of the function, which is the constant term of any sinusoidal function.
In this case, we know that this function represents the height of the blades, then that midline means that the turbine center is at 35 meters (the midline) above the ground.
So the correct options are A and D.
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what is the distance form the sateltite to earth
The distance of Satellite B from the Earth is approximately 4915.71 kilometers.
To determine the distance of Satellite B from the Earth, we can use the concept of similar triangles.
Let's break down the problem step by step:
We have a triangle formed by Satellite A, Satellite B, and the center of the Earth.
Let's call the center of the Earth point O, Satellite A point A, and Satellite B point B.
Since Satellite A orbits closer to the Earth, its distance from the center of the Earth is equal to the radius of the Earth plus the distance from Satellite A to Satellite B.
Let's call this distance OA.
OA = Radius of the Earth + Distance from Satellite A to Satellite B
OA = 6371 km + 21185.5 km
OA = 27556.5 km
Now, we need to find the distance of Satellite B from the Earth. Let's call this distance OB.
We know that OA and OB form a triangle, and they are parallel to the side AB.
Since the triangle formed by OA, OB, and AB is similar to the triangle formed by OA, AB, and the radius of the Earth, we can set up a proportion to find OB.
OA / AB = Radius of the Earth / OB
OB = (Radius of the Earth x AB) / OA
OB = (6371 km x 21185.5 km) / 27556.5 km
OB ≈ 4915.71 km
Therefore, the distance of Satellite B from the Earth is approximately 4915.71 kilometers.
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Plot ΔABC on graph paper with points A(10,4), B(-1,1), and C(4,2). Reflect ΔABC by multiplying the x-coordinates of the vertices by −1. Then use the function (x,y)→(x−5,y+4) to translate the resulting triangle. Name the coordinates of the vertices of the result. Question 4 options:
These are the coordinates of the vertices of the transformed triangle.
Vertex A: (-15, 8)
Vertex B: (-4, 5)
Vertex C: (-9, 6)
To plot ΔABC and perform the given transformations, let's follow the steps:
Plot ΔABC:
Point A(10,4)
Point B(-1,1)
Point C(4,2)
Reflect ΔABC by multiplying the x-coordinates by -1:
Reflecting A: (-10,4)
Reflecting B: (1,1)
Reflecting C: (-4,2)
Translate the reflected triangle using the function (x,y) → (x-5, y+4):
Translating (-10,4): (-10-5, 4+4) = (-15, 8)
Translating (1,1): (1-5, 1+4) = (-4, 5)
Translating (-4,2): (-4-5, 2+4) = (-9, 6)
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e-Test Active
2
3
=+
4
Of(x) = -3x+4
Of(x) = -x +
Of(v)=-3y+4
5
6
7
8
10
TIME REI
Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be
written using function notation?
42-
The function notation of 9x + 3y = 12 is given as follows:
f(x) = 4 - 3x.
How to write the function notation?The function in the context of this problem is given as follows:
9x + 3y = 12.
The format for the function notation is given as follows:
Hence we must isolate the variable y, as follows:
3y = 12 - 9x
y = 4 - 3x (each term of the expression is divided by 3).
f(x) = 4 - 3x.
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Un camión va cargado con 3796 kg de patatas. En una frutería descarga 6 sacos de 50 kg cada uno. ¿ Cuanto pesa ahora la carga del camión?
The current weight of the truck is given as follows:
3496 kg.
How to obtain the current weight of the truck?The current weight of the truck is obtained applying the proportions in the context of the problem.
The initial weight of the truck is given as follows:
3796 kg.
The weight removed from the truck is given as follows:
6 x 50 = 300 kg.
Hence the current weight of the truck is given as follows:
3796 - 300 = 3496 kg.
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11 players are going to practice in the batting cage. how many different orders are possible
Answer:
Step-by-step explanation:
What is the sum of 104, 25, -11 to come of it
Answer:
118
Step-by-step explanation:
104+25+(-11)
129-11
118
Therefore, our answer is 118
In a health club, research shows that on average, patrons spend an average of 42.5 minutes
on the treadmill, with a standard deviation of 4.8 minutes. It is assumed that this is a normally
distributed variable. Find the probability that randomly selected individual would spent
between 30 and 40 minutes on the treadmill.
0,30
0.70
0.40
Less than 1%
Answer:
0.30
Step-by-step explanation:
To find the probability that a randomly selected individual would spend between 30 and 40 minutes on the treadmill, we need to calculate the z-scores corresponding to these values and then use the z-table or a statistical calculator to find the probability.
First, we calculate the z-scores using the formula:
z = (x - μ) / σ
where x is the value (in this case, 30 and 40), μ is the mean (42.5), and σ is the standard deviation (4.8).
For x = 30:
z = (30 - 42.5) / 4.8 ≈ -2.604
For x = 40:
z = (40 - 42.5) / 4.8 ≈ -0.521
Next, we look up the probabilities associated with these z-scores in the z-table or use a statistical calculator.
From the z-table or calculator, the probability corresponding to z = -2.604 is approximately 0.0047, and the probability corresponding to z = -0.521 is approximately 0.3015.
To find the probability between 30 and 40 minutes, we subtract the probability associated with z = -2.604 from the probability associated with z = -0.521:
P(30 ≤ x ≤ 40) = P(z = -0.521) - P(z = -2.604)
≈ 0.3015 - 0.0047
≈ 0.2968
Therefore, the probability that a randomly selected individual would spend between 30 and 40 minutes on the treadmill is approximately 0.2968, which is equivalent to 29.68%. Rounding up we will get 0.30.
Hope this helps!
Show that sin⁴x-cos⁴x/ sin²x-cos²x = 1
Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1.
Here, we have,
given that,
the LHS is:
sin⁴x-cos⁴x/ sin²x-cos²x
now, we know that,
sin²x+cos²x = 1
and, we know that,
a² - b² = (a+b) (a-b)
so, we get,
sin⁴x-cos⁴x/ sin²x-cos²x
= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x
=(sin²x+cos²x)
=1
= RHS
Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1
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Jim is participating in a 6-day cross-country biking challenge. He biked for 59, 52, 66, 45, and 68 miles on the first five days. How many
miles does he need to bike on the last day so that his average (mean) is 59 miles per day?
miles
Answer:
Jim needs to bike 64 miles on the last day to maintain an average of 59 miles per day.
Step-by-step explanation:
To find out how many miles Jim needs to bike on the last day to maintain an average of 59 miles per day, we can use the concept of averages.
The total distance Jim needs to bike over the 6 days to maintain an average of 59 miles per day can be calculated as follows:
Total distance = Average distance per day × Number of days
Total distance = 59 miles/day × 6 days = 354 miles
Jim has already biked a total of 59 + 52 + 66 + 45 + 68 = 290 miles over the first five days.
To find out how many miles Jim needs to bike on the last day, we subtract the distance he has already biked from the total distance needed:
Distance needed on the last day = Total distance - Distance already biked
Distance needed on the last day = 354 miles - 290 miles = 64 miles
Therefore, Jim needs to bike 64 miles on the last day to maintain an average of 59 miles per day over the 6-day cross-country biking challenge.
These shapes are similar.
Find X.
5
5
30
24
30
Answer: 4
Step-by-step explanation:
is it possible to have 131 quests in a particular arrangement?
Answer:
yes
Step-by-step explanation:
Part A
Study the two functions shown, A(t) and 12∙J(t). Based on the graph and the data, what kinds of functions are they? Choose among linear, quadratic, and exponential. Describe the features of each function that gave you clues.
15px
Space used (includes formatting): 134 / 15000
Part B
The equation A = Pert describes a bank loan that compounds continuously. The variables in the equation are described in the table:
Variable Definition
A This is the principal and interest on the loan. Principal is the amount of money borrowed. Interest is a graduated fee paid to the bank for the privilege of borrowing its money.
P This is the principal, or the amount of money borrowed. Don’t confuse P in the compounding interest equation with P in the profit equation. One is principal, the other is profit.
e This is Euler’s number, e ≈ 2.7, used in exponential functions that are continuously compounding.
r This is the interest rate expressed as a percentage.
t This is the time allotted, in years, to repay the loan. It’s also called the life of the loan.
For the sake of this activity, assume that you will collect profit from sales for a number of months and then use a portion of that profit to pay off the entire loan in one lump-sum payment once the loan terminates. Based on this assumption, what does the intersection of the 12∙J(t) curve and the A(t) curve represent? Explain using your own words.
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Space used (includes formatting): 0 / 15000
Part C
Take some time to gradually increase P in increments of $100,000 while keeping r and J(t) constant. What happens to the relationship between the two curves? What does this mean with respect to the bank loan? Why is this a dangerous situation with respect to the financial health of your business? Why would banks put safeguards in place to prevent this from occurring?
15px
Part A:
A(t) is a linear function, and 12∙J(t) is an exponential function. The straight line nature of A(t) indicates linear growth, while the curve of 12∙J(t) suggests exponential growth.
Part B:
The intersection of the 12∙J(t) curve and the A(t) curve represents the point where the accumulated profit from sales is sufficient to pay off the entire loan in one lump-sum payment.
Part C:
As P increases while keeping r and J(t) constant, the relationship between the two curves shifts, indicating a higher profit requirement to cover the increased loan amount. This is dangerous for business financial health and banks have safeguards to prevent excessive debt and defaults.
Part A:
From the given information, we have two functions: A(t) and 12∙J(t). Let's analyze their features to determine their types.
A(t) is a linear function:
A linear function is characterized by a constant rate of change and forms a straight line on a graph.
In the given graph, A(t) is represented by a straight line, indicating a linear relationship between the variables.
This suggests that A(t) is a linear function.
12∙J(t) is an exponential function:
An exponential function is characterized by a constant ratio or base and shows exponential growth or decay.
In the given graph, 12∙J(t) is represented by a curve that exhibits exponential growth.
The increasing rate of change as time progresses indicates an exponential relationship.
Therefore, 12∙J(t) is an exponential function.
Part B:
The intersection of the 12∙J(t) curve and the A(t) curve represents the point at which the profit generated from sales is sufficient to pay off the entire loan in one lump-sum payment. In other words, it represents the point in time when the accumulated profit matches the amount of the loan.
At this intersection point, the profit generated from sales has reached a level where it can fully cover the principal and interest owed on the loan. This indicates that the business has generated enough funds to repay the loan in its entirety.
Part C:
As the principal (P) is increased while keeping the interest rate (r) and 12∙J(t) constant, the relationship between the two curves changes. Specifically, the intersection point between the curves shifts to the right on the graph.
This change in the relationship between the curves signifies that the business needs a higher level of profit to cover the increased loan amount. It suggests that the business has taken on a larger loan, which requires a higher profit to repay.
This situation is considered dangerous for the financial health of the business because it increases the risk of not generating sufficient profit to repay the loan. If the business fails to generate enough profit to cover the loan payments, it may lead to financial instability and potential default on the loan.
To mitigate such risks, banks put safeguards in place to prevent businesses from taking on excessive debt. These safeguards include conducting thorough evaluations of the business's financial health, setting limits on loan amounts based on the business's income and creditworthiness, and assessing the repayment capacity of the borrower. These measures aim to minimize the risk of defaults and protect both the borrower and the lender.
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This figure is a rectangular prism.
Select ALL figures that are NOT formed by a horizontal
slice parallel to the base.
A
B
C
D
square
right triangle
isosceles trapezoid
rectangle
“This figure is a rectangular prism” it says at the top btw”
if u do this ty
The horizontal slice of a rectangular prism will always be a rectangle. Therefore, the correct answers are options A, B and C.
A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.
The horizontal cross section of a rectangular prism will always be a rectangle.
Therefore, the correct answers are options A, B and C.
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Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P ( x <| 104 )
The probability of the data less than or equal to 104 is 84%.
What is the probability of the data less than or equal to 104?The probability of the data less than or equal to 104 is calculated by applying normal distribution formula.
In a standard normal distribution curve, we have the following;
One standard deviation below the mean = M - S.D = 34%
One standard deviation above the mean = M + S.D = 34%
The number of data that would be at 104 is calculated as;
M + S.D = 98 + 6
M + S.D = 104
So we can see that 104 lie at one standard deviation above the mean.
mean = 50%
one standard deviation above the mean = 34%
The total probability = 50% + 34% = 84%
P ( x <| 104 ) = 84%
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The room is 20 feet by 25 feet. The walls are 8 feet tall. You will be painting all 4
walls, but not the ceiling.
The paint costs $13.98 per gallon and covers 400 square feet per gallon.
1. What are the dimensions of the 4 walls?
2. What is the total area to be covered? Show your computations here.
3. How many gallons of paint will you need? (remember each gallon covers 400 sq ft)
1) The dimensions of the 4 walls are:
Two walls are 20 feet long and 8 feet tall.
Two walls are 25 feet long and 8 feet tall.
2) Total area to be covered:
= 720 square feet.
3) You will need 1.8 gallons of paint to cover all four walls of the room.
Now, The dimensions of the 4 walls are:
Two walls are 20 feet long and 8 feet tall.
Two walls are 25 feet long and 8 feet tall.
And, The total area to be covered is:
For the two 20 feet long walls:
A = 20 feet x 8 feet
A = 160 square feet each.
And, For the two 25 feet long walls:
A = 25 feet x 8 feet
A = 200 square feet each.
Hence, Total area to be covered:
= (160 + 160 + 200 + 200) square feet
= 720 square feet.
For the number of gallons of paint needed, divide the total area to be covered by the area covered by one gallon of paint:
Number of gallons of paint needed = Total area to be covered / Area covered by one gallon of paint
Number of gallons of paint needed = 720 square feet / 400 square feet per gallon
Number of gallons of paint needed = 1.8 gallons
Therefore, you will need 1.8 gallons of paint to cover all four walls of the room.
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For the athletic banquet one adult ticket cost is $15.00 and one student ticket cost $10.00 One hundred forty were sold for a total of $1600
Lucy earns 400 a month in salary and she receives a commission of $18 for each applying she sells if last month Lucy earned a total of 886 how many appliances did she sell
She sold 27 appliances.
Given,
Lucy earns $400 a month in salary and she receives a commission of $18.
Last Month income = $886
Now,
Equation:
Monthly income = Fixed income + income from commission
$886 = $400 + income from commission
Income from commission = $486
Commission for one appliance = $18
So,
Total items sold for the commission of $486,
$486/$18
= 27
Hence total 27 appliances lucy sold.
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by what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%
Fabrizio cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 57 inches. How long is each side of the original square paper?
The length of each side of the original square paper is √812.25 = 28.5 inches.
Let us assume that the length and breadth of the square paper are 'a' and 'b' respectively. Now, Fabrizio cuts the paper vertically to make two rectangular pieces.
Since the paper is cut vertically, it can be assumed that the breadth of the square is equal to the height of the rectangle.
Therefore, the perimeter of one rectangle can be calculated by the formula P = 2l + 2wwhere l = length and w = widthNow, P = 57 inches.
Therefore, 2l + 2w = 572(l + w) = 57l + 57w = 28.5(2l + 2w)Since the paper is cut into two rectangles, the length of the square paper is divided equally into the two pieces.
Therefore, the length of the side of the original square paper can be calculated as follows:Length of one rectangle = l = 28.5Width of one rectangle = w = 57 - 28.5 = 28.5
Therefore, the breadth of the original square paper = width of one rectangle = 28.5 inches.
The area of the square can be calculated as length * breadthTherefore, the area of the square paper is given by a * b = 28.5 * 28.5 = 812.25 square inches.
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